Fundamental length from algebra

TL;DR

This paper argues that future physics breakthroughs may involve non-associative algebra, leading to a fundamental length scale, which could be experimentally detectable.

Contribution

It proposes that non-associative algebra is essential for next physics advances and predicts a fundamental length as a key observable effect.

Findings

Non-associative algebra may be necessary for future physics theories.

A fundamental length could emerge as an observable consequence.

Experimental detection of this length might be feasible.

Abstract

Advances in physics have required the application of more and more sophisticated mathematics. I present arguments supporting the contention that the next advance beyond quantum field theory will require the application of a non-associative algebra. The principle observable effect would be the appearance of a fundamental length. An experimental search for such an effect may be feasible.